Differentiation Formulas Of Trigonometric Functions

Trig Functions Derivative Formulas

Derivative Formulas of Trigonometric Functions

The differentiation formulas of the six trigonometric functions are listed below:

• sin x = cos x
• cos x = -sin x
• tan x = sec² x
• csc x = -cot x csc x
• sec x = sec x tan x
• cot x = -csc² x

Finding the Derivative of a Trigonometric Function

Finding the derivative of a trigonometric function involves the use of limits. Suppose the derivative of sin x can be calculated as given below:

Let f(x) = sin x

Then, the derivative of f(x) can be found as follows:

f'(x) = lim_h->0 [f(x + h) - f(x)]/h

Using the limit definition of the derivative, we can find the derivatives of the other trigonometric functions.